Library /62nd Ukrainian National Mathematical Olympiad, Third Round, Second Tour

62nd Ukrainian National Mathematical Olympiad, Third Round, Second Tour

15 problems here, rated 4.5 to 7 on our scale (AIME to National olympiad, round 2). 15 of them ask for a proof.

Algebra 1Combinatorics 6Geometry 4Number theory 4

#	Topic	Diff	Type	Year
1	Algebra	4.5	proof	—	open
2	Geometry	4.9	proof	—	open
3	Geometry	4.9	proof	—	open
4	Combinatorics	5.1	proof	—	open
5	Number theory	5.1	proof	—	open
6	Number theory	5.3	proof	—	open
7	Geometry	5.3	proof	—	open
8	Number theory	5.4	proof	—	open
9	Combinatorics	5.9	proof	—	open
10	Geometry	6.1	proof	—	open
11	Number theory	6.2	proof	—	open
12	Combinatorics	6.5	proof	—	open
13	Combinatorics	6.8	proof	—	open
14	Combinatorics	6.8	proof	—	open
15	Combinatorics	7.0	proof	—	open

These are in difficulty order within this competition, but they are not a course. The track is the ordered route, drawn from across all the sources.